SOLUTION: what is the x and y intercept of this quadratic equation y=2x^2-6x+1

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Question 642812: what is the x and y intercept of this quadratic equation y=2x^2-6x+1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

first make a table, take several values for x, calculate y, plot these several points on a graph
2x%5E2-6x%2B1
x-intercept%3A+set+%7B%7B%7By=0
2x%5E2-6x%2B1=0....solve using quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A2%2A1+%29%29%2F%282%2A2%29+
x+=+%286+%2B-+sqrt%28+36-8+%29%29%2F4+
x+=+%286+%2B-+sqrt%28+28+%29%29%2F4+
x+=+%286+%2B-+5.3%29%2F4+
solutions:
x+=+%286+%2B+5.3%29%2F4+
x+=+%2811.3%29%2F4+
x+=+2.8+
and
x+=+%286+-+5.3%29%2F4+
x+=+%280.7%29%2F4+
x+=+0.18+
now find
y-intercept%3A+set+%7B%7B%7Bx=0
y=2x%5E2-6x%2B1......=>...y=2%2A0%5E2-6%2A0%2B1=1


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%5E2-6x%2B1%29+